Homological properties of simple modules over Leavitt path algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911704023040000 |
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| author | Mantese, Francesca Tonolo, Alberto |
| author_facet | Mantese, Francesca Tonolo, Alberto |
| contents | Let $K$ be any field, and let $E$ be any graph. We explicitly construct the projective resolution of simple left modules over the Leavitt path algebra $L_K(E)$ associated to cycles and irreducible polynomials. Then we study the dimension of the $K$-vector space of the extensions between two such simple modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11241 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Homological properties of simple modules over Leavitt path algebras Mantese, Francesca Tonolo, Alberto Rings and Algebras 16S88, 16S99 Let $K$ be any field, and let $E$ be any graph. We explicitly construct the projective resolution of simple left modules over the Leavitt path algebra $L_K(E)$ associated to cycles and irreducible polynomials. Then we study the dimension of the $K$-vector space of the extensions between two such simple modules. |
| title | Homological properties of simple modules over Leavitt path algebras |
| topic | Rings and Algebras 16S88, 16S99 |
| url | https://arxiv.org/abs/2604.11241 |